Rigidity of singularities of 2D gravity water waves
From MaRDI portal
Publication:2333401
DOI10.1016/j.jde.2019.08.045zbMath1431.35113arXiv1807.05458OpenAlexW2971465258MaRDI QIDQ2333401
Publication date: 13 November 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.05458
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Singularity in context of PDEs (35A21) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
Related Items
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle, Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit, Angled crested like water waves with surface tension: wellposedness of the problem, Rigidity of acute angled corners for one phase Muskat interfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Cauchy problem for gravity water waves
- Two dimensional water waves in holomorphic coordinates
- Capillary-gravity waves for an incompressible ideal fluid
- Well-posedness for the motion of an incompressible liquid with free surface boundary
- Well-posedness of the water-wave problem with surface tension
- Gravity waves on the free surface of an incompressible perfect fluid of finite depth
- On the Stokes conjecture for the wave of extreme form
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- A priori estimates for water waves with emerging bottom
- A priori estimates for two-dimensional water waves with angled crests
- Convexity of Stokes waves of extreme form
- Wellposedness of the 2D full water wave equation in a regime that allows for non-\(C^1\) interfaces
- Development of the mapping function at a corner
- Asymptotic behaviour of the Riemann mapping function at analytic cusps
- Particle trajectories in extreme Stokes waves
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- On the free boundary problem of three-dimensional incompressible Euler equations
- The zero surface tension limit of three-dimensional water waves
- An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
- On the existence of a wave of greatest height and Stokes’s conjecture
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Well-posedness of the water-waves equations
- Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- The zero surface tension limit two‐dimensional water waves
